Question

The value square root of 180 lies b/w integers

Answer 1

The value of square root of 180 lies b/w 13 and 14

Step-by-step explanation:

first we have to find out the square root of the 180

using the prime factorization method

the prime factorization of 180

= 2×2×3×3×5

180 =  2×2×3×3×5

on squaring both sides

$\sqrt{180} = \sqrt{ 2\times2\times3\times3\times5}$

$\sqrt{180}$ = $2\times3\times\sqrt{5}$

$\sqrt{180}$= $6\sqrt{5}$

taking $\sqrt{5} = 2.236$

we get

$\sqrt{180}$ = 6 ×2.236 = 13.41

$\sqrt{180}$ = 13.41

13.41 lies between 13 and 14

hence, The value of square root of 180 lies b/w 13 and 14

#Learn more:

The value of squared 19 lies between which two consecutive integers?

https://brainly.in/question/9298384

Answer 2

Step-by-step explanation:

Ans: 13 and 14

Hope it helps